Determine the values of a and b for which the system `[(3,-2,1),(5,-8,9),(2,1,a)][(x),(y),(z)]=[(b),(3),(-1)]`

Determine the values of a and b for which the [[3,-2,15,-8,92,1,a]][[xyz]]=[[b3-1]]

Determine the values of lambda for which the following system of equations : lambdax+3y-z=1 , x+2y+z=2 , -lambdax+y+2z=-1 has non-trival solutions.

Determine the values of lambda for which the following system of equations: lambda x+3y-z=1x+2y+z=2-lambda x+y+2z=-1 has non-trival solutions.

Determine the values of a and b for which the following system of linear equations has infinite solutions: 2x-(a-4)y=2b+1 and 4x-(a-1)y=5b-1

Determine the values of a and b for which the following system of linear equations has infinite solutions: 2x-(a-4)y=2b+1 and 4x-(a-1)y=5b-1

Consider the system of equations [[3,-2,1],[5,-8,9],[2,1,a]][[x],[y],[z]]=[[b],[3],[-1]] The values of a,b for which the above system has no solution a=-3,b in R a=-3,b=(1)/(3) a!=-3,b!=(1)/(3) a=-3,b!=(1)/(3)

[" The values of "a,b" for "],[" which the system of "],[" equations "],[[3x-2y+z=b,5x-8y+9z=3,2x+y+az=0],[" has no solution,are - "],[" - - "],[[a=-3,b in R],[a=-3,b=1/3]]]

Determination the product [{:(,1,-1,1),(,1,-2,-2),(,2,1,3):}] [{:(,-4,4,4),(,-7,1,3),(,5,-3,-1):}] and use it to solve the system of equations x-y+z=4, x-2y-2z=9, 2x+y+3z=1

The values of a and b, for which the system of equations 2x+3y+6z=8 x+2y+az=5 3x+5y+9z=b has no solution ,are :